The first couple of minutes aside, when Inter hinted at an expansive approach, the Italian side's tactics were clearly to stay strong defensively and pounce on the counter attack.
For a long time, though, it played right into Bayern's hands. With Robben giving left-back Christian Chivu a torrid time and Mark van Bommel pulling the strings in midfield, the Germans almost completely dominated.
Milito set Inter Milan on their way against the run of play with a clipped finish just after the half-hour.
The Argentine completed the job on 70 minutes, when he collected Samuel Eto's pass, running at Mark van Buyten, turning the defender brilliantly and side-footing a sensational 30th goal of his season.
The goal was effectively game, set and match, Bayern's sting very much drawn and Inter allowed to coast to victory and become the first Italian side to win the treble.